What is the Greatest Common Factor of 59829 and 59835?

Greatest common factor (GCF) of 59829 and 59835 is 3.

GCF(59829,59835) = 3

We will now calculate the prime factors of 59829 and 59835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59829 and 59835.

How to find the GCF of 59829 and 59835?

We will first find the prime factorization of 59829 and 59835. After we will calculate the factors of 59829 and 59835 and find the biggest common factor number .

Step-1: Prime Factorization of 59829

Prime factors of 59829 are 3, 7, 11, 37. Prime factorization of 59829 in exponential form is:

59829 = 3¹ × 7² × 11¹ × 37¹

Step-2: Prime Factorization of 59835

Prime factors of 59835 are 3, 5, 3989. Prime factorization of 59835 in exponential form is:

59835 = 3¹ × 5¹ × 3989¹

Step-3: Factors of 59829

List of positive integer factors of 59829 that divides 59829 without a remainder.

1, 3, 7, 11, 21, 33, 37, 49, 77, 111, 147, 231, 259, 407, 539, 777, 1221, 1617, 1813, 2849, 5439, 8547, 19943

Step-4: Factors of 59835

List of positive integer factors of 59835 that divides 59829 without a remainder.

1, 3, 5, 15, 3989, 11967, 19945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59829 and 59835. The biggest common factor number is the GCF number.
So the greatest common factor 59829 and 59835 is 3.

Also check out the Least Common Multiple of 59829 and 59835